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The salaries of A, Band Care in ratio off $$\frac{3}{2}: \frac{6}{5} : \frac{4}{3}$$. The salary of A and B together is Rs.40,500. By
what percentage is the sala1y of A more than that of C?
12%
13%
11.5%
12.5%
- Ratio Conversion: Convert ratios to a common base. Consider salaries of A, B, and C as 3x, 6y, and 4z respectively. Make these ratios comparable by finding a common base through the least common multiple.
- Common Ratio: By comparing ratios, adjust them to a common base of 60 (multiple of 2, 5, and 3). Adjust as: A = 45k, B = 36k, and C = 40k.
- Salary of A and B: Combined salaries: \( 45k + 36k = 81k \).
- Total Salary Calculation: Since A and B's total salary is Rs. 40,500, equate \( 81k \) to 40,500. Solve for k giving, \( k = 500 \).
- Individual salaries: A = \( 45 \times 500 = 22,500\), C = \( 40 \times 500 = 20,000\).
- Percentage Calculation: A's salary is more than C's by: \(\frac{(22,500 - 20,000)}{20,000} \times 100 = 12.5\%\).
- Answer: Option 4: 12.5% is correct.
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By: santosh ProfileResourcesReport error
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